Determination of Lennard-Jones potential parameters from diffusivity data of a binary, gas mixture

(a) Use the following data⁵ for the system H₂O-O₂ at 1atm pressure to determine σ_AB and ε_AB/k:

One way to do this is as follows: (i) Plot the data as log (T^3/2/D_AB) versus log T on a thin sheet of graph paper. (ii) Plot Ωs _AB versus kT/ε_AB on a separate sheet of graph paper to the same scale. (iii) Superpose the first plot on the second, and from the scales of the two overlapping plots, determine the numerical ratios (T/(kT/ε_AB)) and ((T^3/2/D_AB)/Ωs_AB) (iv) Use these two ratios and Eq. 17.3-11 to solve for the two parameters σ_AB and ε_AB/K.

Transcribed Image Text:

T (K) 900 400 500 600 700 800 1000 1100 DAR (cm²/s) 0.47 0.69 2.58 2.20 1.22 0.94 1.52 1.85